Quotients of the holomorphic 2-ball and the turnover

We construct two-dimensional families of complex hyperbolic structures on disc orbibundles over the sphere with three cone points. This contrasts with the previously known examples of the same type, which are locally rigid. In particular, we obtain examples of complex hyperbolic structures on trivia...

Full description

Saved in:
Bibliographic Details
Main Authors Botós, Hugo C, Grossi, Carlos H
Format Journal Article
LanguageEnglish
Published 17.09.2021
Subjects
Mathematics - Differential Geometry
Mathematics - Geometric Topology
Online AccessGet full text

Cover

More Information
Summary:We construct two-dimensional families of complex hyperbolic structures on disc orbibundles over the sphere with three cone points. This contrasts with the previously known examples of the same type, which are locally rigid. In particular, we obtain examples of complex hyperbolic structures on trivial and cotangent disc bundles over closed Riemann surfaces.
DOI:10.48550/arxiv.2109.08753